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2-5 Reasoning in Algebra and Geometry

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Presentation on theme: "2-5 Reasoning in Algebra and Geometry"— Presentation transcript:

1 2-5 Reasoning in Algebra and Geometry

2 Properties of Equality

3 The Distributive Property

4 Problem 1: Justifying Steps when Solving an Equation
What is the value of x? Justify each step

5 Problem 1: Justifying Steps when Solving an Equation
What is the value of x? Justify each step

6 Properties of Congruence

7 Problem 2: Using Properties of Equality and Congruence
What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?

8 What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?

9 What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?

10 Proof: a convincing argument that uses deductive reasoning (shows why a conjecture is true) Two-Column Proof: lists each statement on the left and the justification or reason for each statement on the right. Each step must follow logically from the steps before it.

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12 Problem 3: Writing a Two-Column Proof

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